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105144508 = 2279738713
BaseRepresentation
bin1100100010001…
…10000010111100
321022211220011001
412101012002330
5203404111013
614233340044
72414466520
oct621060274
9238756131
10105144508
1154395697
122b267624
1318a252b1
14dd6dd80
15936dddd
hex64460bc

105144508 has 24 divisors (see below), whose sum is σ = 212462432. Its totient is φ = 44596224.

The previous prime is 105144469. The next prime is 105144509. The reversal of 105144508 is 805441501.

It is a super-2 number, since 2×1051445082 = 22110735125124128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105144509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16641 + ... + 22072.

Almost surely, 2105144508 is an apocalyptic number.

It is an amenable number.

105144508 is an abundant number, since it is smaller than the sum of its proper divisors (107317924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105144508 is a wasteful number, since it uses less digits than its factorization.

105144508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38821 (or 38819 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 105144508 is about 10253.9996099083. Note that the first 3 decimals coincide. The cubic root of 105144508 is about 471.9857256528.

The spelling of 105144508 in words is "one hundred five million, one hundred forty-four thousand, five hundred eight".

Divisors: 1 2 4 7 14 28 97 194 388 679 1358 2716 38713 77426 154852 270991 541982 1083964 3755161 7510322 15020644 26286127 52572254 105144508